Pith Number

pith:EPWP6DGO

pith:2003:EPWP6DGO6LLHA36FJIMJCIQVHQ

not attested not anchored not stored refs pending

Harmonic and superharmonic majorants on the disk

Alexander Borichev, Artur Nicolau, Pascal J. Thomas

arxiv:math/0304482 v2 · 2003-04-29 · math.CV · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPWP6DGO6LLHA36FJIMJCIQVHQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:28.936369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23ecff0ccef2d6706fc54a189122153c339b92b3b950f441ec310c2708759f99

Aliases

arxiv: math/0304482 · arxiv_version: math/0304482v2 · doi: 10.48550/arxiv.math/0304482 · pith_short_12: EPWP6DGO6LLH · pith_short_16: EPWP6DGO6LLHA36F · pith_short_8: EPWP6DGO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EPWP6DGO6LLHA36FJIMJCIQVHQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 23ecff0ccef2d6706fc54a189122153c339b92b3b950f441ec310c2708759f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6f11cda2fcfdf6df2d2d4a9e2ea46da3055c7d64a1d36b6dedbda85576f369",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2003-04-29T18:57:05Z",
    "title_canon_sha256": "d637831fefe4bf2146ed6debf8c88620c18cb53110a56e1e3e753dbebd992028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304482",
    "kind": "arxiv",
    "version": 2
  }
}